Quick guide
How to use this calculator
- Enter every amount in one consistent currency.
- Use the nominal annual rate and whole-number monthly timing requested by each label.
- Read the result together with the stated timing convention and calculator-specific exclusions.
Calculation method
Calculation method
Payment = P·r/(1−(1+r)^−n), where r is the entered nominal annual rate divided by 12; at a zero rate, payment = P/n.
Entered monetary components are aggregated as exact fixed decimals. Amortization keeps full calculation precision and rounds only for presentation; a nonzero supported result is never displayed as zero.
Worked example
Worked example
A 20,000 loan at 6% for 60 months has a monthly payment of about 386.66.
Payment = P·r/(1−(1+r)^−n), where r is the entered nominal annual rate divided by 12; at a zero rate, payment = P/n.
Supported inputs
Precision and limits
Visible input limits
Amounts are capped at 1e12, nominal annual rates at 1000%, schedules at 1,200 months, and fixed-decimal inputs at 12 decimal places.
Estimate, not an offer
Results model only the entered values. A lender or contract may use different payment dates, day counts, compounding, fee treatment, statement rounding, or allocation rules.
International scope
No currency, country, tax, credit-scoring system, consumer-credit law, or lender policy is assumed. Location-dependent amounts must be entered explicitly.
Calculator-specific assumptions
The model assumes equal end-of-month payments and a constant entered rate. Fees, insurance, taxes, payment holidays, and penalties are excluded.